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Solve the normal equations and give an estimate of the intercept parameter, 60. Round your final answer to 4 decimal places.

Solve the normal equations and give an estimate of the intercept parameter, 60. Round your final answer to 4 decimal places.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The manager of a car plant wishes to investigate how the plant's electricity usage depends upon the plant's production. A data set is compiled, which provides the plant's production and electrical usage for each month of the previous year. The electrical usage is in units of a million kilowatt-hours, and the production is measured as the value in million-dollar units of the cars produced in that month. The electricity usage is taken to be the dependent variable y, and the production is taken to be the explanatory variable x. The linear model Yi = Bo + B₁x₂ + €į, where E(ei) = 0 and V(₂) = ², will then allow a month's electrical usage to be estimated as a function of the month's production. Summary statistics are given below. n = 12 12 Zi=1 Xi = 58.62 Zi-1 Yi = 34.15 ²₁x²= 291.2310 ²₁²=98.6967 ²₁ iyi = 169.2532 Solve the normal equations and give an estimate of the intercept parameter, Bo. Round your final answer to 4 decimal places.
Transcribed Image Text:The manager of a car plant wishes to investigate how the plant's electricity usage depends upon the plant's production. A data set is compiled, which provides the plant's production and electrical usage for each month of the previous year. The electrical usage is in units of a million kilowatt-hours, and the production is measured as the value in million-dollar units of the cars produced in that month. The electricity usage is taken to be the dependent variable y, and the production is taken to be the explanatory variable x. The linear model Yi = Bo + B₁x₂ + €į, where E(ei) = 0 and V(₂) = ², will then allow a month's electrical usage to be estimated as a function of the month's production. Summary statistics are given below. n = 12 12 Zi=1 Xi = 58.62 Zi-1 Yi = 34.15 ²₁x²= 291.2310 ²₁²=98.6967 ²₁ iyi = 169.2532 Solve the normal equations and give an estimate of the intercept parameter, Bo. Round your final answer to 4 decimal places.
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